Geodesic
Examples of the Lavrentiev Phenomenon with Continuous Sobolev Exponent Dependence
Journal of convex analysis, Tome 10 (2003) no. 2, pp. 445-464.

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M. Foss 
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     author = {M. Foss},
     title = {Examples of the {Lavrentiev} {Phenomenon} with {Continuous} {Sobolev} {Exponent} {Dependence}},
     journal = {Journal of convex analysis},
     pages = {445--464},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2003},
     url = {http://geodesic.mathdoc.fr/item/JCA_2003_10_2_JCA_2003_10_2_a9/}
}
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M. Foss. Examples of the Lavrentiev Phenomenon with Continuous Sobolev Exponent Dependence. Journal of convex analysis, Tome 10 (2003) no. 2, pp. 445-464. http://geodesic.mathdoc.fr/item/JCA_2003_10_2_JCA_2003_10_2_a9/